$\begin{bmatrix} 3 \\ 5 \\ 0 \end{bmatrix} + t\begin{bmatrix} -2 \\ 1 \\ 1 \end{bmatrix}$

$\begin{bmatrix} 3 \\ 5 \\ 0 \end{bmatrix} + t\begin{bmatrix} 2 \\ -1 \\ 1 \end{bmatrix}$

$t\begin{bmatrix} 2 \\ 1 \\ 1 \end{bmatrix}$

No solution; the system is inconsistent.